For X, Y,, >1, define X, Y)-X-Y1, and show that d has all the attributes of a

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For X, Y,, >1, define X, Y)-X-Y1, and show that d has all the attributes of a metric except one. For X, Ye, write X-Yi X-Yac, and let be the space of equivalence classes of . Show that is a Banach space, ea normed, linear, complete space. When p2, is a Hilbert space under the inner product (X, Y) EXY X where (21) are independent rx's with EX, -0,

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